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<!DOCTYPE html><html lang='en'><head><title>[defs]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>3</a> Terms and definitions <a class='abbr_ref' href='index.html#defs'>[defs]</a></h1><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/intro.tex#L50'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><a class='index' id=':definitions'></a>For the purposes of this document, <!DOCTYPE html><html lang='en'><head><title>[defs]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>3</a> Terms and definitions <a class='abbr_ref' href='index.html#defs'>[defs]</a></h1><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/intro.tex#L50'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><a class='index' id=':definitions'></a>For the purposes of this document,
the terms and definitions given in the terms and definitions given in
IEC 60050-102:2007/AMD3:2021, IEC 60050-102:2007/AMD3:2021,
IEC 60050-112:2010/AMD2:2020, IEC 60050-112:2010/AMD2:2020,
ISO 80000-2:2019, ISO 80000-2:2019,
and and
N4971, N4971,
and the following apply<a class='hidden_link' href='#1.sentence-1'>.</a></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/intro.tex#L61'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'>ISO and IEC maintain terminology databases and the following apply<a class='hidden_link' href='#1.sentence-1'>.</a></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/intro.tex#L61'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'>ISO and IEC maintain terminology databases
for use in standardization for use in standardization
at the following addresses: at the following addresses:
<ul class='itemize'><li id='2.1'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#2.1'>(2.1)</a></div>ISO Online browsing platform: available at <a href='https://www.iso.org/obp'>https://www.iso.org/obp</a></li><li id='2.2'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#2.2'>(2.2)</a></div>IEC Electropedia: available at <a href='http://www.electropedia.org'>http://www.electropedia.org</a></li></ul> <ul class='itemize'><li id='2.1'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#2.1'>(2.1)</a></div>ISO Online browsing platform: available at <a href='https://www.iso.org/obp'>https://www.iso.org/obp</a></li><li id='2.2'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#2.2'>(2.2)</a></div>IEC Electropedia: available at <a href='http://www.electropedia.org'>http://www.electropedia.org</a></li></ul>

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<!DOCTYPE html><html lang='en'><head><title>[qty.helpers]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>5</a> Quantities library <a class='abbr_ref' href='index.html#qties'>[qties]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>5.5</a> Helpers <a class='abbr_ref'>[qty.helpers]</a></h2><div class='texpara'><div class='itemdecl' id='itemdecl:1'><div class='marginalizedparent'><a class='itemDeclLink' href='#itemdecl:1'>🔗</a></div><code class='itemdeclcode'><span class='keyword'>consteval</span> <span class='keyword'>bool</span> <span class='texttt'><i >converts-to-base-subobject-of</i></span><span class='parenthesis'>(</span>std<span class='operator'>::</span>meta type, std<span class='operator'>::</span>meta template_name<span class='parenthesis'>)</span>; <!DOCTYPE html><html lang='en'><head><title>[qty.helpers]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>5</a> Quantities library <a class='abbr_ref' href='index.html#qties'>[qties]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>5.5</a> Helpers <a class='abbr_ref'>[qty.helpers]</a></h2><div class='texpara'><div class='itemdecl' id='itemdecl:1'><div class='marginalizedparent'><a class='itemDeclLink' href='#itemdecl:1'>🔗</a></div><code class='itemdeclcode'><span class='keyword'>consteval</span> <span class='keyword'>bool</span> <span class='texttt'><i >converts-to-base-subobject-of</i></span><span class='parenthesis'>(</span>std<span class='operator'>::</span>meta type, std<span class='operator'>::</span>meta template_name<span class='parenthesis'>)</span>;
</code></div></div><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='itemdescr'><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/quantities.tex#L122'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><i >Preconditions</i>: <span class='texttt'>is_<span class='shy'></span>type<span class='parenthesis'>(</span>type<span class='parenthesis'>)</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span> is_<span class='shy'></span>template<span class='parenthesis'>(</span>template_<span class='shy'></span>name<span class='parenthesis'>)</span></span> is <span class='texttt'><span class='literal'>true</span></span><a class='hidden_link' href='#1.sentence-1'>.</a></div></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='itemdescr'><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/quantities.tex#L126'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'><i >Returns</i>: <span class='texttt'><span class='literal'>true</span></span> if </code></div></div><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='itemdescr'><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/quantities.tex#L122'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><i >Preconditions</i>: <span class='texttt'>is_<span class='shy'></span>type<span class='parenthesis'>(</span>type<span class='parenthesis'>)</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span> is_<span class='shy'></span>template<span class='parenthesis'>(</span>template_<span class='shy'></span>name<span class='parenthesis'>)</span></span> is <span class='texttt'><span class='literal'>true</span></span><a class='hidden_link' href='#1.sentence-1'>.</a></div></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='itemdescr'><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/quantities.tex#L126'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'><i >Returns</i>: <span class='texttt'><span class='literal'>true</span></span> if
<span class='texttt'><span class='squarebracket'>[</span><span class='operator'>:</span>type<span class='operator'>:</span><span class='squarebracket'>]</span></span> has an unambiguous and accessible base <span class='texttt'><span class='squarebracket'>[</span><span class='operator'>:</span>type<span class='operator'>:</span><span class='squarebracket'>]</span></span> has an unambiguous and accessible base
that is a specialization of <span class='texttt'><span class='squarebracket'>[</span><span class='operator'>:</span>template_<span class='shy'></span>name<span class='operator'>:</span><span class='squarebracket'>]</span></span>, and that is a specialization of <span class='texttt'><span class='squarebracket'>[</span><span class='operator'>:</span>template_<span class='shy'></span>name<span class='operator'>:</span><span class='squarebracket'>]</span></span>, and
<span class='texttt'><span class='literal'>false</span></span> otherwise<a class='hidden_link' href='#2.sentence-1'>.</a></div></div></div></div></div></body></html> <span class='texttt'><span class='literal'>false</span></span> otherwise<a class='hidden_link' href='#2.sentence-1'>.</a></div></div></div></div></div></body></html>

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<span class='keyword'>template</span><span class='anglebracket'>&lt;</span><span class='keyword'>typename</span> Rep<span class='anglebracket'>&gt;</span> <span class='keyword'>template</span><span class='anglebracket'>&lt;</span><span class='keyword'>typename</span> Rep<span class='anglebracket'>&gt;</span>
<span class='keyword'>constexpr</span> <span class='keyword'>bool</span> <span id='lib:is_tensor'><a class='hidden_link' href='#lib:is_tensor' title='5.6&emsp;Traits&emsp;[qty.traits]'>is_tensor</a></span> <span class='operator'>=</span> <span class='literal'>false</span>; <span class='keyword'>constexpr</span> <span class='keyword'>bool</span> <span id='lib:is_tensor'><a class='hidden_link' href='#lib:is_tensor' title='5.6&emsp;Traits&emsp;[qty.traits]'>is_tensor</a></span> <span class='operator'>=</span> <span class='literal'>false</span>;
</code></div></div><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='itemdescr'><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/quantities.tex#L149'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><i >Remarks</i>: Pursuant to <a href="https://wg21.link/namespace.std">N4971, [namespace.std]</a> (<a href='spec.ext.html' title='4.1&emsp;External'>[spec.<span class='shy'></span>ext]</a>), </code></div></div><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='itemdescr'><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/quantities.tex#L149'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><i >Remarks</i>: Pursuant to <a href="https://wg21.link/namespace.std">N4971, [namespace.std]</a> (<a href='spec.ext.html' title='4.1&emsp;External'>[spec.<span class='shy'></span>ext]</a>),
users may specialize <span class='texttt'>is_<span class='shy'></span>scalar</span>, <span class='texttt'>is_<span class='shy'></span>vector</span>, and <span class='texttt'>is_<span class='shy'></span>tensor</span> to <span class='texttt'><span class='literal'>true</span></span> users may specialize <span class='texttt'>is_<span class='shy'></span>scalar</span>, <span class='texttt'>is_<span class='shy'></span>vector</span>, and <span class='texttt'>is_<span class='shy'></span>tensor</span> to <span class='texttt'><span class='literal'>true</span></span>
for cv-unqualified program-defined types for cv-unqualified program-defined types
which respectively represent which respectively represent

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<!DOCTYPE html><html lang='en'><head><title>[qty.types.general]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>5</a> Quantities library <a class='abbr_ref' href='index.html#qties'>[qties]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>5.8</a> Types <a class='abbr_ref' href='qty.types.html#general'>[qty.types]</a></h2><h3 ><a class='secnum' style='min-width:80pt'>5.8.1</a> General <a class='abbr_ref'>[qty.types.general]</a></h3><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/quantities.tex#L196'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>A <a class='hidden_link' href='#def:type,quantity' title='5.8.1&emsp;General&emsp;[qty.types.general]'><span id='def:type,quantity'><i >quantity type</i></span></a> <!DOCTYPE html><html lang='en'><head><title>[qty.types.general]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>5</a> Quantities library <a class='abbr_ref' href='index.html#qties'>[qties]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>5.8</a> Types <a class='abbr_ref' href='qty.types.html#general'>[qty.types]</a></h2><h3 ><a class='secnum' style='min-width:80pt'>5.8.1</a> General <a class='abbr_ref'>[qty.types.general]</a></h3><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/quantities.tex#L196'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>A <a class='hidden_link' href='#def:type,quantity' title='5.8.1&emsp;General&emsp;[qty.types.general]'><span id='def:type,quantity'><i >quantity type</i></span></a>
is a type <span class='texttt'><i >Q</i></span> is a type <span class='texttt'><i >Q</i></span>
that is a specialization of <span class='texttt'>quantity</span> or <span class='texttt'>quantity_<span class='shy'></span>point</span><a class='hidden_link' href='#1.sentence-1'>.</a></div> <div id='1.sentence-2' class='sentence'><span class='texttt'><i >Q</i></span> represents a quantity (<a href="https://www.electropedia.org/iev/iev.nsf/display?openform&ievref=112-01-01">IEC 60050, 112-01-01</a>) that is a specialization of <span class='texttt'>quantity</span> or <span class='texttt'>quantity_<span class='shy'></span>point</span><a class='hidden_link' href='#1.sentence-1'>.</a></div> <div id='1.sentence-2' class='sentence'><span class='texttt'><i >Q</i></span> represents a quantity (<a href="https://www.electropedia.org/iev/iev.nsf/display?openform&ievref=112-01-01">IEC 60050, 112-01-01</a>)
with <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>rep</span> as its number with <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>rep</span> as its number
and <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>reference</span> as its reference<a class='hidden_link' href='#1.sentence-2'>.</a></div> <div id='1.sentence-3' class='sentence'><span class='texttt'><i >Q</i></span> is a structural type (<a href="https://wg21.link/temp.paramterm.structural.type">N4971, [temp.param]</a>) and <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>reference</span> as its reference<a class='hidden_link' href='#1.sentence-2'>.</a></div> <div id='1.sentence-3' class='sentence'><span class='texttt'><i >Q</i></span> is a structural type (<a href="https://wg21.link/temp.paramterm.structural.type">N4971, [temp.param]</a>)
if <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>rep</span> is a structural type<a class='hidden_link' href='#1.sentence-3'>.</a></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/quantities.tex#L206'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'>Each class template defined in subclause <a href='qty.types.html' title='5.8&emsp;Types'>[qty.<span class='shy'></span>types]</a> if <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>rep</span> is a structural type<a class='hidden_link' href='#1.sentence-3'>.</a></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/quantities.tex#L206'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'>Each class template defined in subclause <a href='qty.types.html' title='5.8&emsp;Types'>[qty.<span class='shy'></span>types]</a>
has data members and special members specified below, and has data members and special members specified below, and
has no base classes or members other than those specified<a class='hidden_link' href='#2.sentence-1'>.</a></div></div></div></div></body></html> has no base classes or members other than those specified<a class='hidden_link' href='#2.sentence-1'>.</a></div></div></div></div></body></html>

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<!DOCTYPE html><html lang='en'><head><title>[qty.types]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>5</a> Quantities library <a class='abbr_ref' href='index.html#qties'>[qties]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>5.8</a> Types <a class='abbr_ref'>[qty.types]</a></h2><div id='general' class='section'><h3 ><a class='secnum' href='#general' style='min-width:80pt'>5.8.1</a> General <a class='abbr_ref' href='qty.types.general.html'>[qty.types.general]</a></h3><div class='para' id='general-1'><div class='marginalizedparent'><a class='marginalized' href='#general-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/quantities.tex#L196'>#</a></div><div class='texpara'><div id='general-1.sentence-1' class='sentence'>A <a class='hidden_link' href='#def:type,quantity' title='5.8.1&emsp;General&emsp;[qty.types.general]'><span id='def:type,quantity'><i >quantity type</i></span></a> <!DOCTYPE html><html lang='en'><head><title>[qty.types]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>5</a> Quantities library <a class='abbr_ref' href='index.html#qties'>[qties]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>5.8</a> Types <a class='abbr_ref'>[qty.types]</a></h2><div id='general' class='section'><h3 ><a class='secnum' href='#general' style='min-width:80pt'>5.8.1</a> General <a class='abbr_ref' href='qty.types.general.html'>[qty.types.general]</a></h3><div class='para' id='general-1'><div class='marginalizedparent'><a class='marginalized' href='#general-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/quantities.tex#L196'>#</a></div><div class='texpara'><div id='general-1.sentence-1' class='sentence'>A <a class='hidden_link' href='#def:type,quantity' title='5.8.1&emsp;General&emsp;[qty.types.general]'><span id='def:type,quantity'><i >quantity type</i></span></a>
is a type <span class='texttt'><i >Q</i></span> is a type <span class='texttt'><i >Q</i></span>
that is a specialization of <span class='texttt'>quantity</span> or <span class='texttt'>quantity_<span class='shy'></span>point</span><a class='hidden_link' href='#general-1.sentence-1'>.</a></div> <div id='general-1.sentence-2' class='sentence'><span class='texttt'><i >Q</i></span> represents a quantity (<a href="https://www.electropedia.org/iev/iev.nsf/display?openform&ievref=112-01-01">IEC 60050, 112-01-01</a>) that is a specialization of <span class='texttt'>quantity</span> or <span class='texttt'>quantity_<span class='shy'></span>point</span><a class='hidden_link' href='#general-1.sentence-1'>.</a></div> <div id='general-1.sentence-2' class='sentence'><span class='texttt'><i >Q</i></span> represents a quantity (<a href="https://www.electropedia.org/iev/iev.nsf/display?openform&ievref=112-01-01">IEC 60050, 112-01-01</a>)
with <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>rep</span> as its number with <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>rep</span> as its number
and <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>reference</span> as its reference<a class='hidden_link' href='#general-1.sentence-2'>.</a></div> <div id='general-1.sentence-3' class='sentence'><span class='texttt'><i >Q</i></span> is a structural type (<a href="https://wg21.link/temp.paramterm.structural.type">N4971, [temp.param]</a>) and <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>reference</span> as its reference<a class='hidden_link' href='#general-1.sentence-2'>.</a></div> <div id='general-1.sentence-3' class='sentence'><span class='texttt'><i >Q</i></span> is a structural type (<a href="https://wg21.link/temp.paramterm.structural.type">N4971, [temp.param]</a>)
if <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>rep</span> is a structural type<a class='hidden_link' href='#general-1.sentence-3'>.</a></div></div></div><div class='para' id='general-2'><div class='marginalizedparent'><a class='marginalized' href='#general-2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/quantities.tex#L206'>#</a></div><div class='texpara'><div id='general-2.sentence-1' class='sentence'>Each class template defined in subclause [qty.<span class='shy'></span>types] if <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>rep</span> is a structural type<a class='hidden_link' href='#general-1.sentence-3'>.</a></div></div></div><div class='para' id='general-2'><div class='marginalizedparent'><a class='marginalized' href='#general-2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/quantities.tex#L206'>#</a></div><div class='texpara'><div id='general-2.sentence-1' class='sentence'>Each class template defined in subclause [qty.<span class='shy'></span>types]
has data members and special members specified below, and has data members and special members specified below, and
has no base classes or members other than those specified<a class='hidden_link' href='#general-2.sentence-1'>.</a></div></div></div></div><div id='qty.type' class='section'><h3 ><a class='secnum' href='#qty.type' style='min-width:80pt'>5.8.2</a> Class template <span class='texttt'>quantity</span> <a class='abbr_ref' href='qty.type.html'>[qty.type]</a></h3><div class='texpara'><span class='codeblock'><span class='keyword'>namespace</span> mp_units <span class='curlybracket'>{</span> has no base classes or members other than those specified<a class='hidden_link' href='#general-2.sentence-1'>.</a></div></div></div></div><div id='qty.type' class='section'><h3 ><a class='secnum' href='#qty.type' style='min-width:80pt'>5.8.2</a> Class template <span class='texttt'>quantity</span> <a class='abbr_ref' href='qty.type.html'>[qty.type]</a></h3><div class='texpara'><span class='codeblock'><span class='keyword'>namespace</span> mp_units <span class='curlybracket'>{</span>

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<!DOCTYPE html><html lang='en'><head><title>[refs]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>2</a> References <a class='abbr_ref' href='index.html#refs'>[refs]</a></h1><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/intro.tex#L14'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><a class='index' id=':references'></a>The following documents are referred to in the text <!DOCTYPE html><html lang='en'><head><title>[refs]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>2</a> References <a class='abbr_ref' href='index.html#refs'>[refs]</a></h1><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/intro.tex#L14'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><a class='index' id=':references'></a>The following documents are referred to in the text
in such a way that some or all of their content in such a way that some or all of their content
constitutes requirements of this document<a class='hidden_link' href='#1.sentence-1'>.</a></div> <div id='1.sentence-2' class='sentence'>For dated references, only the edition cited applies<a class='hidden_link' href='#1.sentence-2'>.</a></div> <div id='1.sentence-3' class='sentence'>For undated references, constitutes requirements of this document<a class='hidden_link' href='#1.sentence-1'>.</a></div> <div id='1.sentence-2' class='sentence'>For dated references, only the edition cited applies<a class='hidden_link' href='#1.sentence-2'>.</a></div> <div id='1.sentence-3' class='sentence'>For undated references,
the latest edition of the referenced document the latest edition of the referenced document

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<!DOCTYPE html><html lang='en'><head><title>[scope]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>1</a> Scope <a class='abbr_ref' href='index.html#scope'>[scope]</a></h1><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/intro.tex#L6'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><a class='index' id=':scope'></a>This document describes the contents of the <a class='hidden_link' href='#def:mp-units_library' title='1&emsp;Scope&emsp;[scope]'><span id='def:mp-units_library'><i >mp-units library</i></span></a><a class='hidden_link' href='#1.sentence-1'>.</a></div> </div></div></div></body></html> <!DOCTYPE html><html lang='en'><head><title>[scope]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>1</a> Scope <a class='abbr_ref' href='index.html#scope'>[scope]</a></h1><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/intro.tex#L6'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><a class='index' id=':scope'></a>This document describes the contents of the <a class='hidden_link' href='#def:mp-units_library' title='1&emsp;Scope&emsp;[scope]'><span id='def:mp-units_library'><i >mp-units library</i></span></a><a class='hidden_link' href='#1.sentence-1'>.</a></div> </div></div></div></body></html>

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<!DOCTYPE html><html lang='en'><head><title>[spec.cats]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.2</a> Categories <a class='abbr_ref'>[spec.cats]</a></h2><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/intro.tex#L96'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>Detailed specifications for each of the components in the library are in <!DOCTYPE html><html lang='en'><head><title>[spec.cats]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.2</a> Categories <a class='abbr_ref'>[spec.cats]</a></h2><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/intro.tex#L96'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>Detailed specifications for each of the components in the library are in
<a href='qties.html' title='5&emsp;Quantities library'>[qties]</a><a href='qties.html' title='5&emsp;Quantities library'>[qties]</a>, <a href='qties.html' title='5&emsp;Quantities library'>[qties]</a><a href='qties.html' title='5&emsp;Quantities library'>[qties]</a>,
as shown in Table <a href='#tab:lib.cats' title='Table 1: Library categories'>1</a><a class='hidden_link' href='#1.sentence-1'>.</a></div></div><div class='texpara'><div class='numberedTable' id='tab:lib.cats'>Table <a href='#tab:lib.cats'>1</a>: Library categories&emsp;<a href='./tab:lib.cats.html'>[tab:lib.cats]</a><br><table ><tr id='tab:lib.cats-row-1' class='rowsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:lib.cats-row-1'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-1-column-1-sentence-1' class='sentence'><b>Clause</b></div></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-1-column-2-sentence-1' class='sentence'><b>Category</b></div></div></td></tr><tr id='tab:lib.cats-row-2' class='capsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:lib.cats-row-2'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-2-column-1-sentence-1' class='sentence'><a href='qties.html' title='5&emsp;Quantities library'>[qties]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-2-column-2-sentence-1' class='sentence'>Quantities library</div></div></td></tr></table></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/intro.tex#L108'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'>The quantities library (<a href='qties.html' title='5&emsp;Quantities library'>[qties]</a>) as shown in Table <a href='#tab:lib.cats' title='Table 1: Library categories'>1</a><a class='hidden_link' href='#1.sentence-1'>.</a></div></div><div class='texpara'><div class='numberedTable' id='tab:lib.cats'>Table <a href='#tab:lib.cats'>1</a>: Library categories&emsp;<a href='./tab:lib.cats.html'>[tab:lib.cats]</a><br><table ><tr id='tab:lib.cats-row-1' class='rowsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:lib.cats-row-1'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-1-column-1-sentence-1' class='sentence'><b>Clause</b></div></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-1-column-2-sentence-1' class='sentence'><b>Category</b></div></div></td></tr><tr id='tab:lib.cats-row-2' class='capsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:lib.cats-row-2'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-2-column-1-sentence-1' class='sentence'><a href='qties.html' title='5&emsp;Quantities library'>[qties]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-2-column-2-sentence-1' class='sentence'>Quantities library</div></div></td></tr></table></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/intro.tex#L108'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'>The quantities library (<a href='qties.html' title='5&emsp;Quantities library'>[qties]</a>)
describes components for dealing with quantities<a class='hidden_link' href='#2.sentence-1'>.</a></div></div></div></div></body></html> describes components for dealing with quantities<a class='hidden_link' href='#2.sentence-1'>.</a></div></div></div></div></body></html>

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<!DOCTYPE html><html lang='en'><head><title>[spec.ext]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.1</a> External <a class='abbr_ref'>[spec.ext]</a></h2><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/intro.tex#L76'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>The specification of the mp-units library subsumes <!DOCTYPE html><html lang='en'><head><title>[spec.ext]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.1</a> External <a class='abbr_ref'>[spec.ext]</a></h2><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/intro.tex#L76'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>The specification of the mp-units library subsumes
<a href="https://wg21.link/description">N4971, [description]</a>, <a href="https://wg21.link/requirements">N4971, [requirements]</a>, <a href="https://wg21.link/concepts.equality">N4971, [concepts.equality]</a>, and SD-8, <a href="https://wg21.link/description">N4971, [description]</a>, <a href="https://wg21.link/requirements">N4971, [requirements]</a>, <a href="https://wg21.link/concepts.equality">N4971, [concepts.equality]</a>, and SD-8,
all assumingly amended for the context of this library<a class='hidden_link' href='#1.sentence-1'>.</a></div> <div id='note-1' class='note'><div class='texpara'>[<i>Note&nbsp;<a href='#note-1'>1</a></i>:&ensp;<div id='1.sentence-2' class='sentence'>This means that, non exhaustively, all assumingly amended for the context of this library<a class='hidden_link' href='#1.sentence-1'>.</a></div> <div id='note-1' class='note'><div class='texpara'>[<i>Note&nbsp;<a href='#note-1'>1</a></i>:&ensp;<div id='1.sentence-2' class='sentence'>This means that, non exhaustively,
<ul class='itemize'><li id='1.1'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#1.1'>(1.1)</a></div><span class='texttt'><span class='operator'>&#x200b;::&#x200b;</span>mp_<span class='shy'></span>units2</span> is a reserved namespace, and</li><li id='1.2'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#1.2'>(1.2)</a></div><span class='texttt'>std<span class='operator'>&#x200b;::&#x200b;</span>vector<span class='anglebracket'>&lt;</span>mp_<span class='shy'></span>units<span class='operator'>&#x200b;::&#x200b;</span><i >type</i><span class='anglebracket'>&gt;</span></span> <ul class='itemize'><li id='1.1'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#1.1'>(1.1)</a></div><span class='texttt'><span class='operator'>&#x200b;::&#x200b;</span>mp_<span class='shy'></span>units2</span> is a reserved namespace, and</li><li id='1.2'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#1.2'>(1.2)</a></div><span class='texttt'>std<span class='operator'>&#x200b;::&#x200b;</span>vector<span class='anglebracket'>&lt;</span>mp_<span class='shy'></span>units<span class='operator'>&#x200b;::&#x200b;</span><i >type</i><span class='anglebracket'>&gt;</span></span>
is a program-defined specialization and a library-defined specialization is a program-defined specialization and a library-defined specialization
from the point of view of the C++ standard library and the mp-units library, respectively<a class='hidden_link' href='#1.sentence-2'>.</a></li></ul></div>&nbsp;<i>end note</i>]</div></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/intro.tex#L91'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'>The mp-units library is not part of the C++ implementation<a class='hidden_link' href='#2.sentence-1'>.</a></div></div></div></div></body></html> from the point of view of the C++ standard library and the mp-units library, respectively<a class='hidden_link' href='#1.sentence-2'>.</a></li></ul></div>&nbsp;<i>end note</i>]</div></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/intro.tex#L91'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'>The mp-units library is not part of the C++ implementation<a class='hidden_link' href='#2.sentence-1'>.</a></div></div></div></div></body></html>

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<!DOCTYPE html><html lang='en'><head><title>[spec]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><div id='ext' class='section'><h2 ><a class='secnum' href='#ext' style='min-width:65pt'>4.1</a> External <a class='abbr_ref' href='spec.ext.html'>[spec.ext]</a></h2><div class='para' id='ext-1'><div class='marginalizedparent'><a class='marginalized' href='#ext-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/intro.tex#L76'>#</a></div><div class='texpara'><div id='ext-1.sentence-1' class='sentence'>The specification of the mp-units library subsumes <!DOCTYPE html><html lang='en'><head><title>[spec]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><div id='ext' class='section'><h2 ><a class='secnum' href='#ext' style='min-width:65pt'>4.1</a> External <a class='abbr_ref' href='spec.ext.html'>[spec.ext]</a></h2><div class='para' id='ext-1'><div class='marginalizedparent'><a class='marginalized' href='#ext-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/intro.tex#L76'>#</a></div><div class='texpara'><div id='ext-1.sentence-1' class='sentence'>The specification of the mp-units library subsumes
<a href="https://wg21.link/description">N4971, [description]</a>, <a href="https://wg21.link/requirements">N4971, [requirements]</a>, <a href="https://wg21.link/concepts.equality">N4971, [concepts.equality]</a>, and SD-8, <a href="https://wg21.link/description">N4971, [description]</a>, <a href="https://wg21.link/requirements">N4971, [requirements]</a>, <a href="https://wg21.link/concepts.equality">N4971, [concepts.equality]</a>, and SD-8,
all assumingly amended for the context of this library<a class='hidden_link' href='#ext-1.sentence-1'>.</a></div> <div id='ext-note-1' class='note'><div class='texpara'>[<i>Note&nbsp;<a href='#ext-note-1'>1</a></i>:&ensp;<div id='ext-1.sentence-2' class='sentence'>This means that, non exhaustively, all assumingly amended for the context of this library<a class='hidden_link' href='#ext-1.sentence-1'>.</a></div> <div id='ext-note-1' class='note'><div class='texpara'>[<i>Note&nbsp;<a href='#ext-note-1'>1</a></i>:&ensp;<div id='ext-1.sentence-2' class='sentence'>This means that, non exhaustively,
<ul class='itemize'><li id='ext-1.1'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#ext-1.1'>(1.1)</a></div><span class='texttt'><span class='operator'>&#x200b;::&#x200b;</span>mp_<span class='shy'></span>units2</span> is a reserved namespace, and</li><li id='ext-1.2'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#ext-1.2'>(1.2)</a></div><span class='texttt'>std<span class='operator'>&#x200b;::&#x200b;</span>vector<span class='anglebracket'>&lt;</span>mp_<span class='shy'></span>units<span class='operator'>&#x200b;::&#x200b;</span><i >type</i><span class='anglebracket'>&gt;</span></span> <ul class='itemize'><li id='ext-1.1'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#ext-1.1'>(1.1)</a></div><span class='texttt'><span class='operator'>&#x200b;::&#x200b;</span>mp_<span class='shy'></span>units2</span> is a reserved namespace, and</li><li id='ext-1.2'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#ext-1.2'>(1.2)</a></div><span class='texttt'>std<span class='operator'>&#x200b;::&#x200b;</span>vector<span class='anglebracket'>&lt;</span>mp_<span class='shy'></span>units<span class='operator'>&#x200b;::&#x200b;</span><i >type</i><span class='anglebracket'>&gt;</span></span>
is a program-defined specialization and a library-defined specialization is a program-defined specialization and a library-defined specialization
from the point of view of the C++ standard library and the mp-units library, respectively<a class='hidden_link' href='#ext-1.sentence-2'>.</a></li></ul></div>&nbsp;<i>end note</i>]</div></div></div></div><div class='para' id='ext-2'><div class='marginalizedparent'><a class='marginalized' href='#ext-2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/intro.tex#L91'>#</a></div><div class='texpara'><div id='ext-2.sentence-1' class='sentence'>The mp-units library is not part of the C++ implementation<a class='hidden_link' href='#ext-2.sentence-1'>.</a></div></div></div></div><div id='cats' class='section'><h2 ><a class='secnum' href='#cats' style='min-width:65pt'>4.2</a> Categories <a class='abbr_ref' href='spec.cats.html'>[spec.cats]</a></h2><div class='para' id='cats-1'><div class='marginalizedparent'><a class='marginalized' href='#cats-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/intro.tex#L96'>#</a></div><div class='texpara'><div id='cats-1.sentence-1' class='sentence'>Detailed specifications for each of the components in the library are in from the point of view of the C++ standard library and the mp-units library, respectively<a class='hidden_link' href='#ext-1.sentence-2'>.</a></li></ul></div>&nbsp;<i>end note</i>]</div></div></div></div><div class='para' id='ext-2'><div class='marginalizedparent'><a class='marginalized' href='#ext-2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/intro.tex#L91'>#</a></div><div class='texpara'><div id='ext-2.sentence-1' class='sentence'>The mp-units library is not part of the C++ implementation<a class='hidden_link' href='#ext-2.sentence-1'>.</a></div></div></div></div><div id='cats' class='section'><h2 ><a class='secnum' href='#cats' style='min-width:65pt'>4.2</a> Categories <a class='abbr_ref' href='spec.cats.html'>[spec.cats]</a></h2><div class='para' id='cats-1'><div class='marginalizedparent'><a class='marginalized' href='#cats-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/intro.tex#L96'>#</a></div><div class='texpara'><div id='cats-1.sentence-1' class='sentence'>Detailed specifications for each of the components in the library are in
<a href='qties.html' title='5&emsp;Quantities library'>[qties]</a><a href='qties.html' title='5&emsp;Quantities library'>[qties]</a>, <a href='qties.html' title='5&emsp;Quantities library'>[qties]</a><a href='qties.html' title='5&emsp;Quantities library'>[qties]</a>,
as shown in Table <a href='#tab:lib.cats' title='Table 1: Library categories'>1</a><a class='hidden_link' href='#cats-1.sentence-1'>.</a></div></div><div class='texpara'><div class='numberedTable' id='tab:lib.cats'>Table <a href='#tab:lib.cats'>1</a>: Library categories&emsp;<a href='./tab:lib.cats.html'>[tab:lib.cats]</a><br><table ><tr id='tab:lib.cats-row-1' class='rowsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:lib.cats-row-1'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-1-column-1-sentence-1' class='sentence'><b>Clause</b></div></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-1-column-2-sentence-1' class='sentence'><b>Category</b></div></div></td></tr><tr id='tab:lib.cats-row-2' class='capsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:lib.cats-row-2'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-2-column-1-sentence-1' class='sentence'><a href='qties.html' title='5&emsp;Quantities library'>[qties]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-2-column-2-sentence-1' class='sentence'>Quantities library</div></div></td></tr></table></div></div></div><div class='para' id='cats-2'><div class='marginalizedparent'><a class='marginalized' href='#cats-2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/intro.tex#L108'>#</a></div><div class='texpara'><div id='cats-2.sentence-1' class='sentence'>The quantities library (<a href='qties.html' title='5&emsp;Quantities library'>[qties]</a>) as shown in Table <a href='#tab:lib.cats' title='Table 1: Library categories'>1</a><a class='hidden_link' href='#cats-1.sentence-1'>.</a></div></div><div class='texpara'><div class='numberedTable' id='tab:lib.cats'>Table <a href='#tab:lib.cats'>1</a>: Library categories&emsp;<a href='./tab:lib.cats.html'>[tab:lib.cats]</a><br><table ><tr id='tab:lib.cats-row-1' class='rowsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:lib.cats-row-1'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-1-column-1-sentence-1' class='sentence'><b>Clause</b></div></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-1-column-2-sentence-1' class='sentence'><b>Category</b></div></div></td></tr><tr id='tab:lib.cats-row-2' class='capsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:lib.cats-row-2'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-2-column-1-sentence-1' class='sentence'><a href='qties.html' title='5&emsp;Quantities library'>[qties]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-2-column-2-sentence-1' class='sentence'>Quantities library</div></div></td></tr></table></div></div></div><div class='para' id='cats-2'><div class='marginalizedparent'><a class='marginalized' href='#cats-2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/intro.tex#L108'>#</a></div><div class='texpara'><div id='cats-2.sentence-1' class='sentence'>The quantities library (<a href='qties.html' title='5&emsp;Quantities library'>[qties]</a>)
describes components for dealing with quantities<a class='hidden_link' href='#cats-2.sentence-1'>.</a></div></div></div></div><div id='mods' class='section'><h2 ><a class='secnum' href='#mods' style='min-width:65pt'>4.3</a> Modules <a class='abbr_ref' href='spec.mods.html'>[spec.mods]</a></h2><div class='para' id='mods-1'><div class='marginalizedparent'><a class='marginalized' href='#mods-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/intro.tex#L114'>#</a></div><div class='texpara'><div id='mods-1.sentence-1' class='sentence'>The mp-units library provides the describes components for dealing with quantities<a class='hidden_link' href='#cats-2.sentence-1'>.</a></div></div></div></div><div id='mods' class='section'><h2 ><a class='secnum' href='#mods' style='min-width:65pt'>4.3</a> Modules <a class='abbr_ref' href='spec.mods.html'>[spec.mods]</a></h2><div class='para' id='mods-1'><div class='marginalizedparent'><a class='marginalized' href='#mods-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/intro.tex#L114'>#</a></div><div class='texpara'><div id='mods-1.sentence-1' class='sentence'>The mp-units library provides the
<a class='hidden_link' href='#def:module,mp-units' title='4.3&emsp;Modules&emsp;[spec.mods]'><span id='def:module,mp-units'><i >mp-units modules</i></span></a>, <a class='hidden_link' href='#def:module,mp-units' title='4.3&emsp;Modules&emsp;[spec.mods]'><span id='def:module,mp-units'><i >mp-units modules</i></span></a>,
shown in Table <a href='#tab:modules' title='Table 2: mp-units modules'>2</a><a class='hidden_link' href='#mods-1.sentence-1'>.</a></div></div><div class='texpara'><div class='numberedTable' id='tab:modules'>Table <a href='#tab:modules'>2</a>: mp-units modules&emsp;<a href='./tab:modules.html'>[tab:modules]</a><br><table ><tr id='tab:modules-row-1'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:modules-row-1'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-1-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units</span></div></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-2-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units<span class='operator'>.</span>core</span></div></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-3-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units<span class='operator'>.</span>systems</span></div></div></td></tr></table></div></div></div></div><div id='reqs' class='section'><h2 ><a class='secnum' href='#reqs' style='min-width:65pt'>4.4</a> Library-wide requirements <a class='abbr_ref' href='spec.reqs.html'>[spec.reqs]</a></h2><div id='res.names' class='section'><h3 ><a class='secnum' href='#res.names' style='min-width:80pt'>4.4.1</a> Reserved names <a class='abbr_ref' href='spec.res.names.html'>[spec.res.names]</a></h3><div class='para' id='res.names-1'><div class='marginalizedparent'><a class='marginalized' href='#res.names-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/intro.tex#L132'>#</a></div><div class='texpara'><div id='res.names-1.sentence-1' class='sentence'>The mp-units library reserves macro names that start with shown in Table <a href='#tab:modules' title='Table 2: mp-units modules'>2</a><a class='hidden_link' href='#mods-1.sentence-1'>.</a></div></div><div class='texpara'><div class='numberedTable' id='tab:modules'>Table <a href='#tab:modules'>2</a>: mp-units modules&emsp;<a href='./tab:modules.html'>[tab:modules]</a><br><table ><tr id='tab:modules-row-1'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:modules-row-1'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-1-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units</span></div></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-2-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units<span class='operator'>.</span>core</span></div></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-3-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units<span class='operator'>.</span>systems</span></div></div></td></tr></table></div></div></div></div><div id='reqs' class='section'><h2 ><a class='secnum' href='#reqs' style='min-width:65pt'>4.4</a> Library-wide requirements <a class='abbr_ref' href='spec.reqs.html'>[spec.reqs]</a></h2><div id='res.names' class='section'><h3 ><a class='secnum' href='#res.names' style='min-width:80pt'>4.4.1</a> Reserved names <a class='abbr_ref' href='spec.res.names.html'>[spec.res.names]</a></h3><div class='para' id='res.names-1'><div class='marginalizedparent'><a class='marginalized' href='#res.names-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/intro.tex#L132'>#</a></div><div class='texpara'><div id='res.names-1.sentence-1' class='sentence'>The mp-units library reserves macro names that start with
<span class='texttt'>MP_<span class='shy'></span>UNITS<span class='textsf'><i >digit-sequence</i></span><span class="mjx-chtml"><span class="mjx-math"><span class="mjx-mrow" aria-hidden="true"><span class="mjx-msubsup"><span class="mjx-base"><span class="mjx-mi"><span class="mjx-char"></span></span></span><span class="mjx-sub" style="font-size: 70.7%; vertical-align: -0.212em; padding-right: 0.071em;"><span class="mjx-texatom"><span class="mjx-mrow"><span class="mjx-mstyle" style="font-size: 113.1%; color: black;"><span class="mjx-mrow" style="font-size: 88.4%;"><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">o</span></span></span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.446em;">p</span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.372em; padding-bottom: 0.298em;">t</span></span></span></span></span></span></span></span></span>_<span class='shy'></span></span><a class='hidden_link' href='#res.names-1.sentence-1'>.</a></div></div></div></div></div></div></body></html> <span class='texttt'>MP_<span class='shy'></span>UNITS<span class='textsf'><i >digit-sequence</i></span><span class="mjx-chtml"><span class="mjx-math"><span class="mjx-mrow" aria-hidden="true"><span class="mjx-msubsup"><span class="mjx-base"><span class="mjx-mi"><span class="mjx-char"></span></span></span><span class="mjx-sub" style="font-size: 70.7%; vertical-align: -0.212em; padding-right: 0.071em;"><span class="mjx-texatom"><span class="mjx-mrow"><span class="mjx-mstyle" style="font-size: 113.1%; color: black;"><span class="mjx-mrow" style="font-size: 88.4%;"><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">o</span></span></span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.446em;">p</span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.372em; padding-bottom: 0.298em;">t</span></span></span></span></span></span></span></span></span>_<span class='shy'></span></span><a class='hidden_link' href='#res.names-1.sentence-1'>.</a></div></div></div></div></div></div></body></html>

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<!DOCTYPE html><html lang='en'><head><title>[spec.mods]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.3</a> Modules <a class='abbr_ref'>[spec.mods]</a></h2><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/intro.tex#L114'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>The mp-units library provides the <!DOCTYPE html><html lang='en'><head><title>[spec.mods]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.3</a> Modules <a class='abbr_ref'>[spec.mods]</a></h2><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/intro.tex#L114'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>The mp-units library provides the
<a class='hidden_link' href='#def:module,mp-units' title='4.3&emsp;Modules&emsp;[spec.mods]'><span id='def:module,mp-units'><i >mp-units modules</i></span></a>, <a class='hidden_link' href='#def:module,mp-units' title='4.3&emsp;Modules&emsp;[spec.mods]'><span id='def:module,mp-units'><i >mp-units modules</i></span></a>,
shown in Table <a href='#tab:modules' title='Table 2: mp-units modules'>2</a><a class='hidden_link' href='#1.sentence-1'>.</a></div></div><div class='texpara'><div class='numberedTable' id='tab:modules'>Table <a href='#tab:modules'>2</a>: mp-units modules&emsp;<a href='./tab:modules.html'>[tab:modules]</a><br><table ><tr id='tab:modules-row-1'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:modules-row-1'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-1-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units</span></div></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-2-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units<span class='operator'>.</span>core</span></div></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-3-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units<span class='operator'>.</span>systems</span></div></div></td></tr></table></div></div></div></div></body></html> shown in Table <a href='#tab:modules' title='Table 2: mp-units modules'>2</a><a class='hidden_link' href='#1.sentence-1'>.</a></div></div><div class='texpara'><div class='numberedTable' id='tab:modules'>Table <a href='#tab:modules'>2</a>: mp-units modules&emsp;<a href='./tab:modules.html'>[tab:modules]</a><br><table ><tr id='tab:modules-row-1'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:modules-row-1'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-1-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units</span></div></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-2-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units<span class='operator'>.</span>core</span></div></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-3-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units<span class='operator'>.</span>systems</span></div></div></td></tr></table></div></div></div></div></body></html>

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<!DOCTYPE html><html lang='en'><head><title>[spec.reqs]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.4</a> Library-wide requirements <a class='abbr_ref'>[spec.reqs]</a></h2><div id='spec.res.names' class='section'><h3 ><a class='secnum' href='#spec.res.names' style='min-width:80pt'>4.4.1</a> Reserved names <a class='abbr_ref' href='spec.res.names.html'>[spec.res.names]</a></h3><div class='para' id='spec.res.names-1'><div class='marginalizedparent'><a class='marginalized' href='#spec.res.names-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/intro.tex#L132'>#</a></div><div class='texpara'><div id='spec.res.names-1.sentence-1' class='sentence'>The mp-units library reserves macro names that start with <!DOCTYPE html><html lang='en'><head><title>[spec.reqs]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.4</a> Library-wide requirements <a class='abbr_ref'>[spec.reqs]</a></h2><div id='spec.res.names' class='section'><h3 ><a class='secnum' href='#spec.res.names' style='min-width:80pt'>4.4.1</a> Reserved names <a class='abbr_ref' href='spec.res.names.html'>[spec.res.names]</a></h3><div class='para' id='spec.res.names-1'><div class='marginalizedparent'><a class='marginalized' href='#spec.res.names-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/intro.tex#L132'>#</a></div><div class='texpara'><div id='spec.res.names-1.sentence-1' class='sentence'>The mp-units library reserves macro names that start with
<span class='texttt'>MP_<span class='shy'></span>UNITS<span class='textsf'><i >digit-sequence</i></span><span class="mjx-chtml"><span class="mjx-math"><span class="mjx-mrow" aria-hidden="true"><span class="mjx-msubsup"><span class="mjx-base"><span class="mjx-mi"><span class="mjx-char"></span></span></span><span class="mjx-sub" style="font-size: 70.7%; vertical-align: -0.212em; padding-right: 0.071em;"><span class="mjx-texatom"><span class="mjx-mrow"><span class="mjx-mstyle" style="font-size: 113.1%; color: black;"><span class="mjx-mrow" style="font-size: 88.4%;"><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">o</span></span></span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.446em;">p</span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.372em; padding-bottom: 0.298em;">t</span></span></span></span></span></span></span></span></span>_<span class='shy'></span></span><a class='hidden_link' href='#spec.res.names-1.sentence-1'>.</a></div></div></div></div></div></body></html> <span class='texttt'>MP_<span class='shy'></span>UNITS<span class='textsf'><i >digit-sequence</i></span><span class="mjx-chtml"><span class="mjx-math"><span class="mjx-mrow" aria-hidden="true"><span class="mjx-msubsup"><span class="mjx-base"><span class="mjx-mi"><span class="mjx-char"></span></span></span><span class="mjx-sub" style="font-size: 70.7%; vertical-align: -0.212em; padding-right: 0.071em;"><span class="mjx-texatom"><span class="mjx-mrow"><span class="mjx-mstyle" style="font-size: 113.1%; color: black;"><span class="mjx-mrow" style="font-size: 88.4%;"><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">o</span></span></span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.446em;">p</span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.372em; padding-bottom: 0.298em;">t</span></span></span></span></span></span></span></span></span>_<span class='shy'></span></span><a class='hidden_link' href='#spec.res.names-1.sentence-1'>.</a></div></div></div></div></div></body></html>

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<!DOCTYPE html><html lang='en'><head><title>[spec.res.names]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.4</a> Library-wide requirements <a class='abbr_ref' href='spec.reqs.html#spec.res.names'>[spec.reqs]</a></h2><h3 ><a class='secnum' style='min-width:80pt'>4.4.1</a> Reserved names <a class='abbr_ref'>[spec.res.names]</a></h3><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa1d8c4d6a50e0791fa4e6a1342328f22a37368e2/source/intro.tex#L132'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>The mp-units library reserves macro names that start with <!DOCTYPE html><html lang='en'><head><title>[spec.res.names]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.4</a> Library-wide requirements <a class='abbr_ref' href='spec.reqs.html#spec.res.names'>[spec.reqs]</a></h2><h3 ><a class='secnum' style='min-width:80pt'>4.4.1</a> Reserved names <a class='abbr_ref'>[spec.res.names]</a></h3><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units8ae21ffcc9d25778e7e5cb050d0f971056204aa2/source/intro.tex#L132'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>The mp-units library reserves macro names that start with
<span class='texttt'>MP_<span class='shy'></span>UNITS<span class='textsf'><i >digit-sequence</i></span><span class="mjx-chtml"><span class="mjx-math"><span class="mjx-mrow" aria-hidden="true"><span class="mjx-msubsup"><span class="mjx-base"><span class="mjx-mi"><span class="mjx-char"></span></span></span><span class="mjx-sub" style="font-size: 70.7%; vertical-align: -0.212em; padding-right: 0.071em;"><span class="mjx-texatom"><span class="mjx-mrow"><span class="mjx-mstyle" style="font-size: 113.1%; color: black;"><span class="mjx-mrow" style="font-size: 88.4%;"><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">o</span></span></span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.446em;">p</span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.372em; padding-bottom: 0.298em;">t</span></span></span></span></span></span></span></span></span>_<span class='shy'></span></span><a class='hidden_link' href='#1.sentence-1'>.</a></div></div></div></div></body></html> <span class='texttt'>MP_<span class='shy'></span>UNITS<span class='textsf'><i >digit-sequence</i></span><span class="mjx-chtml"><span class="mjx-math"><span class="mjx-mrow" aria-hidden="true"><span class="mjx-msubsup"><span class="mjx-base"><span class="mjx-mi"><span class="mjx-char"></span></span></span><span class="mjx-sub" style="font-size: 70.7%; vertical-align: -0.212em; padding-right: 0.071em;"><span class="mjx-texatom"><span class="mjx-mrow"><span class="mjx-mstyle" style="font-size: 113.1%; color: black;"><span class="mjx-mrow" style="font-size: 88.4%;"><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">o</span></span></span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.446em;">p</span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.372em; padding-bottom: 0.298em;">t</span></span></span></span></span></span></span></span></span>_<span class='shy'></span></span><a class='hidden_link' href='#1.sentence-1'>.</a></div></div></div></div></body></html>

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<lastmod>2024-11-17</lastmod> <lastmod>2024-11-19</lastmod>
</url> </url>
<url> <url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/systems/natural_units/</loc> <loc>https://mpusz.github.io/mp-units/HEAD/users_guide/systems/natural_units/</loc>
<lastmod>2024-11-17</lastmod> <lastmod>2024-11-19</lastmod>
</url> </url>
<url> <url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/systems/si/</loc> <loc>https://mpusz.github.io/mp-units/HEAD/users_guide/systems/si/</loc>
<lastmod>2024-11-17</lastmod> <lastmod>2024-11-19</lastmod>
</url> </url>
<url> <url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/systems/strong_angular_system/</loc> <loc>https://mpusz.github.io/mp-units/HEAD/users_guide/systems/strong_angular_system/</loc>
<lastmod>2024-11-17</lastmod> <lastmod>2024-11-19</lastmod>
</url> </url>
<url> <url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/use_cases/extending_the_library/</loc> <loc>https://mpusz.github.io/mp-units/HEAD/users_guide/use_cases/extending_the_library/</loc>
<lastmod>2024-11-17</lastmod> <lastmod>2024-11-19</lastmod>
</url> </url>
<url> <url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/use_cases/interoperability_with_other_libraries/</loc> <loc>https://mpusz.github.io/mp-units/HEAD/users_guide/use_cases/interoperability_with_other_libraries/</loc>
<lastmod>2024-11-17</lastmod> <lastmod>2024-11-19</lastmod>
</url> </url>
<url> <url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/use_cases/pure_dimensional_analysis/</loc> <loc>https://mpusz.github.io/mp-units/HEAD/users_guide/use_cases/pure_dimensional_analysis/</loc>
<lastmod>2024-11-17</lastmod> <lastmod>2024-11-19</lastmod>
</url> </url>
<url> <url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/use_cases/using_custom_representation_types/</loc> <loc>https://mpusz.github.io/mp-units/HEAD/users_guide/use_cases/using_custom_representation_types/</loc>
<lastmod>2024-11-17</lastmod> <lastmod>2024-11-19</lastmod>
</url> </url>
<url> <url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/use_cases/wide_compatibility/</loc> <loc>https://mpusz.github.io/mp-units/HEAD/users_guide/use_cases/wide_compatibility/</loc>
<lastmod>2024-11-17</lastmod> <lastmod>2024-11-19</lastmod>
</url> </url>
<url> <url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/use_cases/working_with_legacy_interfaces/</loc> <loc>https://mpusz.github.io/mp-units/HEAD/users_guide/use_cases/working_with_legacy_interfaces/</loc>
<lastmod>2024-11-17</lastmod> <lastmod>2024-11-19</lastmod>
</url> </url>
<url> <url>
<loc>https://mpusz.github.io/mp-units/HEAD/blog/archive/2024/</loc> <loc>https://mpusz.github.io/mp-units/HEAD/blog/archive/2024/</loc>
<lastmod>2024-11-17</lastmod> <lastmod>2024-11-19</lastmod>
</url> </url>
<url> <url>
<loc>https://mpusz.github.io/mp-units/HEAD/blog/archive/2023/</loc> <loc>https://mpusz.github.io/mp-units/HEAD/blog/archive/2023/</loc>
<lastmod>2024-11-17</lastmod> <lastmod>2024-11-19</lastmod>
</url> </url>
<url> <url>
<loc>https://mpusz.github.io/mp-units/HEAD/blog/category/metrology/</loc> <loc>https://mpusz.github.io/mp-units/HEAD/blog/category/metrology/</loc>
<lastmod>2024-11-17</lastmod> <lastmod>2024-11-19</lastmod>
</url> </url>
<url> <url>
<loc>https://mpusz.github.io/mp-units/HEAD/blog/category/releases/</loc> <loc>https://mpusz.github.io/mp-units/HEAD/blog/category/releases/</loc>
<lastmod>2024-11-17</lastmod> <lastmod>2024-11-19</lastmod>
</url> </url>
<url> <url>
<loc>https://mpusz.github.io/mp-units/HEAD/blog/category/wg21-updates/</loc> <loc>https://mpusz.github.io/mp-units/HEAD/blog/category/wg21-updates/</loc>
<lastmod>2024-11-17</lastmod> <lastmod>2024-11-19</lastmod>
</url> </url>
<url> <url>
<loc>https://mpusz.github.io/mp-units/HEAD/blog/page/2/</loc> <loc>https://mpusz.github.io/mp-units/HEAD/blog/page/2/</loc>
<lastmod>2024-11-17</lastmod> <lastmod>2024-11-19</lastmod>
</url> </url>
<url> <url>
<loc>https://mpusz.github.io/mp-units/HEAD/blog/archive/2024/page/2/</loc> <loc>https://mpusz.github.io/mp-units/HEAD/blog/archive/2024/page/2/</loc>
<lastmod>2024-11-17</lastmod> <lastmod>2024-11-19</lastmod>
</url> </url>
<url> <url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/examples/tags_index/</loc> <loc>https://mpusz.github.io/mp-units/HEAD/users_guide/examples/tags_index/</loc>
<lastmod>2024-11-17</lastmod> <lastmod>2024-11-19</lastmod>
</url> </url>
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@@ -2806,14 +2806,14 @@ do not have access to C++23, we can obtain the same output with:</p>
</div> </div>
<h3 id="dimension-formatting">Dimension formatting<a class="headerlink" href="#dimension-formatting" title="Permanent link">&para;</a></h3> <h3 id="dimension-formatting">Dimension formatting<a class="headerlink" href="#dimension-formatting" title="Permanent link">&para;</a></h3>
<div class="language-ebnf highlight"><pre><span></span><code><span id="__span-29-1"><a id="__codelineno-29-1" name="__codelineno-29-1" href="#__codelineno-29-1"></a><span class="k">dimension-format-spec </span><span class="o">=</span> <span class="p">[</span><span class="k">fill-and-align</span><span class="p">],</span> <span class="p">[</span><span class="k">width</span><span class="p">],</span> <span class="p">[</span><span class="k">dimension-spec</span><span class="p">];</span> <div class="language-ebnf highlight"><pre><span></span><code><span id="__span-29-1"><a id="__codelineno-29-1" name="__codelineno-29-1" href="#__codelineno-29-1"></a><span class="k">dimension-format-spec </span><span class="o">=</span> <span class="p">[</span><span class="k">fill-and-align</span><span class="p">],</span> <span class="p">[</span><span class="k">width</span><span class="p">],</span> <span class="p">[</span><span class="k">dimension-spec</span><span class="p">];</span>
</span><span id="__span-29-2"><a id="__codelineno-29-2" name="__codelineno-29-2" href="#__codelineno-29-2"></a><span class="k">dimension-spec </span><span class="o">=</span> <span class="p">[</span><span class="k">text-encoding</span><span class="p">];</span> </span><span id="__span-29-2"><a id="__codelineno-29-2" name="__codelineno-29-2" href="#__codelineno-29-2"></a><span class="k">dimension-spec </span><span class="o">=</span> <span class="p">[</span><span class="k">character-set</span><span class="p">];</span>
</span><span id="__span-29-3"><a id="__codelineno-29-3" name="__codelineno-29-3" href="#__codelineno-29-3"></a><span class="k">text-encoding </span><span class="o">=</span> <span class="s1">&#39;U&#39;</span> <span class="p">|</span> <span class="s1">&#39;P&#39;</span><span class="p">;</span> </span><span id="__span-29-3"><a id="__codelineno-29-3" name="__codelineno-29-3" href="#__codelineno-29-3"></a><span class="k">character-set </span><span class="o">=</span> <span class="s1">&#39;U&#39;</span> <span class="p">|</span> <span class="s1">&#39;P&#39;</span><span class="p">;</span>
</span></code></pre></div> </span></code></pre></div>
<p>In the above grammar:</p> <p>In the above grammar:</p>
<ul> <ul>
<li><code>fill-and-align</code> and <code>width</code> tokens are defined in the <a href="https://wg21.link/format.string.std">format.string.std</a> <li><code>fill-and-align</code> and <code>width</code> tokens are defined in the <a href="https://wg21.link/format.string.std">format.string.std</a>
chapter of the C++ standard specification,</li> chapter of the C++ standard specification,</li>
<li><code>text-encoding</code> token specifies the symbol text encoding:<ul> <li><code>character-set</code> token specifies the symbol text encoding:<ul>
<li><code>U</code> (default) uses the <strong>UTF-8</strong> symbols defined by [@ISO80000] (e.g., <code>LT⁻²</code>),</li> <li><code>U</code> (default) uses the <strong>UTF-8</strong> symbols defined by [@ISO80000] (e.g., <code>LT⁻²</code>),</li>
<li><code>P</code> forces non-standard <strong>portable</strong> output (e.g., <code>LT^-2</code>).</li> <li><code>P</code> forces non-standard <strong>portable</strong> output (e.g., <code>LT^-2</code>).</li>
</ul> </ul>
@@ -2824,7 +2824,7 @@ do not have access to C++23, we can obtain the same output with:</p>
dimension). The library follows this by default. From the engineering point of view, sometimes dimension). The library follows this by default. From the engineering point of view, sometimes
Unicode text might not be the best solution, as terminals of many (especially embedded) devices Unicode text might not be the best solution, as terminals of many (especially embedded) devices
can output only letters from the basic literal character set. In such a case, the dimension can output only letters from the basic literal character set. In such a case, the dimension
symbol can be forced to be printed using such characters thanks to <code>text-encoding</code> token:</p> symbol can be forced to be printed using such characters thanks to <code>character-set</code> token:</p>
<div class="language-cpp highlight"><pre><span></span><code><span id="__span-30-1"><a id="__codelineno-30-1" name="__codelineno-30-1" href="#__codelineno-30-1"></a><span class="n">std</span><span class="o">::</span><span class="n">println</span><span class="p">(</span><span class="s">&quot;{}&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">isq</span><span class="o">::</span><span class="n">dim_thermodynamic_temperature</span><span class="p">);</span><span class="w"> </span><span class="c1">// Θ</span> <div class="language-cpp highlight"><pre><span></span><code><span id="__span-30-1"><a id="__codelineno-30-1" name="__codelineno-30-1" href="#__codelineno-30-1"></a><span class="n">std</span><span class="o">::</span><span class="n">println</span><span class="p">(</span><span class="s">&quot;{}&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">isq</span><span class="o">::</span><span class="n">dim_thermodynamic_temperature</span><span class="p">);</span><span class="w"> </span><span class="c1">// Θ</span>
</span><span id="__span-30-2"><a id="__codelineno-30-2" name="__codelineno-30-2" href="#__codelineno-30-2"></a><span class="n">std</span><span class="o">::</span><span class="n">println</span><span class="p">(</span><span class="s">&quot;{:P}&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">isq</span><span class="o">::</span><span class="n">dim_thermodynamic_temperature</span><span class="p">);</span><span class="w"> </span><span class="c1">// O</span> </span><span id="__span-30-2"><a id="__codelineno-30-2" name="__codelineno-30-2" href="#__codelineno-30-2"></a><span class="n">std</span><span class="o">::</span><span class="n">println</span><span class="p">(</span><span class="s">&quot;{:P}&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">isq</span><span class="o">::</span><span class="n">dim_thermodynamic_temperature</span><span class="p">);</span><span class="w"> </span><span class="c1">// O</span>
</span><span id="__span-30-3"><a id="__codelineno-30-3" name="__codelineno-30-3" href="#__codelineno-30-3"></a><span class="n">std</span><span class="o">::</span><span class="n">println</span><span class="p">(</span><span class="s">&quot;{}&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">isq</span><span class="o">::</span><span class="n">power</span><span class="p">.</span><span class="n">dimension</span><span class="p">);</span><span class="w"> </span><span class="c1">// L²MT⁻³</span> </span><span id="__span-30-3"><a id="__codelineno-30-3" name="__codelineno-30-3" href="#__codelineno-30-3"></a><span class="n">std</span><span class="o">::</span><span class="n">println</span><span class="p">(</span><span class="s">&quot;{}&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">isq</span><span class="o">::</span><span class="n">power</span><span class="p">.</span><span class="n">dimension</span><span class="p">);</span><span class="w"> </span><span class="c1">// L²MT⁻³</span>
@@ -2832,12 +2832,12 @@ symbol can be forced to be printed using such characters thanks to <code>text-en
</span></code></pre></div> </span></code></pre></div>
<h3 id="unit-formatting">Unit formatting<a class="headerlink" href="#unit-formatting" title="Permanent link">&para;</a></h3> <h3 id="unit-formatting">Unit formatting<a class="headerlink" href="#unit-formatting" title="Permanent link">&para;</a></h3>
<div class="language-ebnf highlight"><pre><span></span><code><span id="__span-31-1"><a id="__codelineno-31-1" name="__codelineno-31-1" href="#__codelineno-31-1"></a><span class="k">unit-format-spec </span><span class="o">=</span> <span class="p">[</span><span class="k">fill-and-align</span><span class="p">],</span> <span class="p">[</span><span class="k">width</span><span class="p">],</span> <span class="p">[</span><span class="k">unit-spec</span><span class="p">];</span> <div class="language-ebnf highlight"><pre><span></span><code><span id="__span-31-1"><a id="__codelineno-31-1" name="__codelineno-31-1" href="#__codelineno-31-1"></a><span class="k">unit-format-spec </span><span class="o">=</span> <span class="p">[</span><span class="k">fill-and-align</span><span class="p">],</span> <span class="p">[</span><span class="k">width</span><span class="p">],</span> <span class="p">[</span><span class="k">unit-spec</span><span class="p">];</span>
</span><span id="__span-31-2"><a id="__codelineno-31-2" name="__codelineno-31-2" href="#__codelineno-31-2"></a><span class="k">unit-spec </span><span class="o">=</span> <span class="p">[</span><span class="k">text-encoding</span><span class="p">],</span> <span class="p">[</span><span class="k">unit-symbol-solidus</span><span class="p">],</span> <span class="p">[</span><span class="k">unit-symbol-separator</span><span class="p">],</span> <span class="p">[</span><span class="k">L</span><span class="p">]</span> </span><span id="__span-31-2"><a id="__codelineno-31-2" name="__codelineno-31-2" href="#__codelineno-31-2"></a><span class="k">unit-spec </span><span class="o">=</span> <span class="p">[</span><span class="k">character-set</span><span class="p">],</span> <span class="p">[</span><span class="k">unit-symbol-solidus</span><span class="p">],</span> <span class="p">[</span><span class="k">unit-symbol-separator</span><span class="p">],</span> <span class="p">[</span><span class="k">L</span><span class="p">]</span>
</span><span id="__span-31-3"><a id="__codelineno-31-3" name="__codelineno-31-3" href="#__codelineno-31-3"></a> <span class="p">|</span> <span class="p">[</span><span class="k">text-encoding</span><span class="p">],</span> <span class="p">[</span><span class="k">unit-symbol-separator</span><span class="p">],</span> <span class="p">[</span><span class="k">unit-symbol-solidus</span><span class="p">],</span> <span class="p">[</span><span class="k">L</span><span class="p">]</span> </span><span id="__span-31-3"><a id="__codelineno-31-3" name="__codelineno-31-3" href="#__codelineno-31-3"></a> <span class="p">|</span> <span class="p">[</span><span class="k">character-set</span><span class="p">],</span> <span class="p">[</span><span class="k">unit-symbol-separator</span><span class="p">],</span> <span class="p">[</span><span class="k">unit-symbol-solidus</span><span class="p">],</span> <span class="p">[</span><span class="k">L</span><span class="p">]</span>
</span><span id="__span-31-4"><a id="__codelineno-31-4" name="__codelineno-31-4" href="#__codelineno-31-4"></a> <span class="p">|</span> <span class="p">[</span><span class="k">unit-symbol-solidus</span><span class="p">],</span> <span class="p">[</span><span class="k">text-encoding</span><span class="p">],</span> <span class="p">[</span><span class="k">unit-symbol-separator</span><span class="p">],</span> <span class="p">[</span><span class="k">L</span><span class="p">]</span> </span><span id="__span-31-4"><a id="__codelineno-31-4" name="__codelineno-31-4" href="#__codelineno-31-4"></a> <span class="p">|</span> <span class="p">[</span><span class="k">unit-symbol-solidus</span><span class="p">],</span> <span class="p">[</span><span class="k">character-set</span><span class="p">],</span> <span class="p">[</span><span class="k">unit-symbol-separator</span><span class="p">],</span> <span class="p">[</span><span class="k">L</span><span class="p">]</span>
</span><span id="__span-31-5"><a id="__codelineno-31-5" name="__codelineno-31-5" href="#__codelineno-31-5"></a> <span class="p">|</span> <span class="p">[</span><span class="k">unit-symbol-solidus</span><span class="p">],</span> <span class="p">[</span><span class="k">unit-symbol-separator</span><span class="p">],</span> <span class="p">[</span><span class="k">text-encoding</span><span class="p">],</span> <span class="p">[</span><span class="k">L</span><span class="p">]</span> </span><span id="__span-31-5"><a id="__codelineno-31-5" name="__codelineno-31-5" href="#__codelineno-31-5"></a> <span class="p">|</span> <span class="p">[</span><span class="k">unit-symbol-solidus</span><span class="p">],</span> <span class="p">[</span><span class="k">unit-symbol-separator</span><span class="p">],</span> <span class="p">[</span><span class="k">character-set</span><span class="p">],</span> <span class="p">[</span><span class="k">L</span><span class="p">]</span>
</span><span id="__span-31-6"><a id="__codelineno-31-6" name="__codelineno-31-6" href="#__codelineno-31-6"></a> <span class="p">|</span> <span class="p">[</span><span class="k">unit-symbol-separator</span><span class="p">],</span> <span class="p">[</span><span class="k">text-encoding</span><span class="p">],</span> <span class="p">[</span><span class="k">unit-symbol-solidus</span><span class="p">],</span> <span class="p">[</span><span class="k">L</span><span class="p">]</span> </span><span id="__span-31-6"><a id="__codelineno-31-6" name="__codelineno-31-6" href="#__codelineno-31-6"></a> <span class="p">|</span> <span class="p">[</span><span class="k">unit-symbol-separator</span><span class="p">],</span> <span class="p">[</span><span class="k">character-set</span><span class="p">],</span> <span class="p">[</span><span class="k">unit-symbol-solidus</span><span class="p">],</span> <span class="p">[</span><span class="k">L</span><span class="p">]</span>
</span><span id="__span-31-7"><a id="__codelineno-31-7" name="__codelineno-31-7" href="#__codelineno-31-7"></a> <span class="p">|</span> <span class="p">[</span><span class="k">unit-symbol-separator</span><span class="p">],</span> <span class="p">[</span><span class="k">unit-symbol-solidus</span><span class="p">],</span> <span class="p">[</span><span class="k">text-encoding</span><span class="p">],</span> <span class="p">[</span><span class="k">L</span><span class="p">];</span> </span><span id="__span-31-7"><a id="__codelineno-31-7" name="__codelineno-31-7" href="#__codelineno-31-7"></a> <span class="p">|</span> <span class="p">[</span><span class="k">unit-symbol-separator</span><span class="p">],</span> <span class="p">[</span><span class="k">unit-symbol-solidus</span><span class="p">],</span> <span class="p">[</span><span class="k">character-set</span><span class="p">],</span> <span class="p">[</span><span class="k">L</span><span class="p">];</span>
</span><span id="__span-31-8"><a id="__codelineno-31-8" name="__codelineno-31-8" href="#__codelineno-31-8"></a><span class="k">unit-symbol-solidus </span><span class="o">=</span> <span class="s1">&#39;1&#39;</span> <span class="p">|</span> <span class="s1">&#39;a&#39;</span> <span class="p">|</span> <span class="s1">&#39;n&#39;</span><span class="p">;</span> </span><span id="__span-31-8"><a id="__codelineno-31-8" name="__codelineno-31-8" href="#__codelineno-31-8"></a><span class="k">unit-symbol-solidus </span><span class="o">=</span> <span class="s1">&#39;1&#39;</span> <span class="p">|</span> <span class="s1">&#39;a&#39;</span> <span class="p">|</span> <span class="s1">&#39;n&#39;</span><span class="p">;</span>
</span><span id="__span-31-9"><a id="__codelineno-31-9" name="__codelineno-31-9" href="#__codelineno-31-9"></a><span class="k">unit-symbol-separator </span><span class="o">=</span> <span class="s1">&#39;s&#39;</span> <span class="p">|</span> <span class="s1">&#39;d&#39;</span><span class="p">;</span> </span><span id="__span-31-9"><a id="__codelineno-31-9" name="__codelineno-31-9" href="#__codelineno-31-9"></a><span class="k">unit-symbol-separator </span><span class="o">=</span> <span class="s1">&#39;s&#39;</span> <span class="p">|</span> <span class="s1">&#39;d&#39;</span><span class="p">;</span>
</span></code></pre></div> </span></code></pre></div>
@@ -2872,7 +2872,7 @@ to control the formatting of a unit symbol.</p>
engineering point of view, Unicode text might not be the best solution sometimes, as terminals engineering point of view, Unicode text might not be the best solution sometimes, as terminals
of many (especially embedded) devices can output only letters from the basic literal character set. of many (especially embedded) devices can output only letters from the basic literal character set.
In such a case, the unit symbol can be forced to be printed using such characters thanks to In such a case, the unit symbol can be forced to be printed using such characters thanks to
<code>text-encoding</code> token:</p> <code>character-set</code> token:</p>
<div class="language-cpp highlight"><pre><span></span><code><span id="__span-32-1"><a id="__codelineno-32-1" name="__codelineno-32-1" href="#__codelineno-32-1"></a><span class="n">std</span><span class="o">::</span><span class="n">println</span><span class="p">(</span><span class="s">&quot;{}&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">si</span><span class="o">::</span><span class="n">ohm</span><span class="p">);</span><span class="w"> </span><span class="c1">// Ω</span> <div class="language-cpp highlight"><pre><span></span><code><span id="__span-32-1"><a id="__codelineno-32-1" name="__codelineno-32-1" href="#__codelineno-32-1"></a><span class="n">std</span><span class="o">::</span><span class="n">println</span><span class="p">(</span><span class="s">&quot;{}&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">si</span><span class="o">::</span><span class="n">ohm</span><span class="p">);</span><span class="w"> </span><span class="c1">// Ω</span>
</span><span id="__span-32-2"><a id="__codelineno-32-2" name="__codelineno-32-2" href="#__codelineno-32-2"></a><span class="n">std</span><span class="o">::</span><span class="n">println</span><span class="p">(</span><span class="s">&quot;{:P}&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">si</span><span class="o">::</span><span class="n">ohm</span><span class="p">);</span><span class="w"> </span><span class="c1">// ohm</span> </span><span id="__span-32-2"><a id="__codelineno-32-2" name="__codelineno-32-2" href="#__codelineno-32-2"></a><span class="n">std</span><span class="o">::</span><span class="n">println</span><span class="p">(</span><span class="s">&quot;{:P}&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">si</span><span class="o">::</span><span class="n">ohm</span><span class="p">);</span><span class="w"> </span><span class="c1">// ohm</span>
</span><span id="__span-32-3"><a id="__codelineno-32-3" name="__codelineno-32-3" href="#__codelineno-32-3"></a><span class="n">std</span><span class="o">::</span><span class="n">println</span><span class="p">(</span><span class="s">&quot;{}&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">us</span><span class="p">);</span><span class="w"> </span><span class="c1">// µs</span> </span><span id="__span-32-3"><a id="__codelineno-32-3" name="__codelineno-32-3" href="#__codelineno-32-3"></a><span class="n">std</span><span class="o">::</span><span class="n">println</span><span class="p">(</span><span class="s">&quot;{}&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">us</span><span class="p">);</span><span class="w"> </span><span class="c1">// µs</span>